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    "<h1><center> Mixture models </center></h1>\n",
    "\n",
    "# 1. Basic\n",
    "Model with hidden variables are known as **latent variable models (LVMs)**. Such models are harder to fit than models with no latent variables. However, they can have significant advantages, for two main reasons. \n",
    "* First, the LVMs often have fewer parameters than models that directly represent correlation in the visible space. \n",
    "* Second, the hidden variables in an LVM can serve as a **bottleneck**, which computes a compressed representation of the data.This forms the basis of unsurpevised learning.\n",
    "\n",
    "The simplest form of LVM is when the latent variable is $z \\in \\lbrace 1,\\ldots,K \\rbrace$, representing a discrete latent state. We can use a discrete prior $p(z)=Cat(z|\\vec{\\pi})$,where $\\vec{\\pi}=(\\pi_1,\\ldots,\\pi_K)$. The conditional distribution is written as $p(x|z=k)=p(x|\\theta_k)$, the overall model is known as a mixture model. The joint distribution is as follows\n",
    "\\begin{align}\n",
    "p(x,z=k|\\theta) &=p(z=k)p(x|z=k) \\\\\n",
    "                &=\\pi_k p(x|\\theta_k)\n",
    "\\end{align}\n",
    "The likelihood function is\n",
    "\\begin{align}\n",
    "p(D|\\theta) &=\\prod_{i=1}^N p(x) \\\\\n",
    "            &=\\prod_{i=1}^N \\sum_{k=1}^K p(x,z=k|\\theta) \\\\\n",
    "            &=\\prod_{i=1}^N \\sum_{k=1}^K \\pi_k p(x|\\theta_k)\n",
    "\\end{align}\n",
    "\n",
    "# 2 Some examples\n",
    "## 2.1 Mixtures of Gaussian\n",
    "The most widely used mixture model is the **mixture of Gaussian**, also called a **Gaussian mixture model (GMM)**. The model has the form\n",
    "$$\n",
    "p(x|\\theta)=\\sum_{k=1}^K\\pi_k \\mathcal{N}(x|\\mu_k,\\Sigma_k)\n",
    "$$\n",
    "\n",
    "## 2.2 Mixtures of multinoullis\n",
    "Suppose our data consist of $D$-dimensional bit vectors. In this case ,an appropriate class-conditional density is a product of Bernoullis\n",
    "\\begin{align}\n",
    "p(\\vec{x}|z=k,\\theta) &=\\prod_{j=1}^d Ber(x_j|\\theta_{jk}) \\\\\n",
    "                      &=\\prod_{j=1}^d \\theta_{jk}^{x_j}(1-\\theta_{jk})^{(1-x_j)}\n",
    "\\end{align}\n",
    "The likelihood function is as follows\n",
    "$$\n",
    "p(D|\\theta)=\\prod_{i=1}^N \\left[ \\sum_{k=1}^K \\prod_{j=1}^d Ber(x_j|\\theta_{jk}) \\right]\n",
    "$$\n",
    "\n",
    "## 2.3 Using mixture models for clustering\n",
    "There are two main applications of mixture models. \n",
    "* The first is to use them as a **black-box** density model, $p(x)$. This can be useful for a variaty of tasks, such as creating generative classifiers.\n",
    "* The second, and more common, application of mixture models is to use them for clustering.\n",
    "\n",
    "We fist fit the mixture model and then compute $p(z_i|x_i,\\theta)$, which represents the posterior probability that point i belongs to each cluster.\n",
    "$$\n",
    "p(z_i=k|x_i,\\theta)= \\frac{p(x_i|z_i=k,\\theta)p(z_i=k|\\theta)}{\\sum_{k'=1}^K p(x_i|z_i=k',\\theta)p(z_i=k'|\\theta)}\n",
    "$$\n",
    "This procedure is called **soft clustering**, which output a distribution over $\\lbrace 1,\\ldots,K \\rbrace$. We can also compute a MAP estimation, which called **hard clustering**\n",
    "$$\n",
    "\\hat{z_i}=\\underset{k}{argmax}\\, p(z_i=k|x_i,\\theta)\n",
    "$$\n",
    "\n",
    "# 3. Parameter estimation for mixture models\n",
    "We have seen how to compute the posterior over the hidden variables given the observed variables, assuming the parameters are known. Now, we discuss how to learn the parameters.\n",
    "\n",
    "In a directed graphical model, the posterior over the parameters factorizes if we have complete data and a factored prior, which make the parameter estimation very simple. Unfortunately, this is no longer true if we have hidden variables and/or missing data. The reason is as follows. If $z_i$ were observed, we see that $\\theta_z \\perp \\theta_x |D$ and the posterior of $\\theta_x,\\theta_z$ will factorize. But since, in an LVM, the $z_i$ are hidden, the parameters are no longer independent, and the posterior does not factorize, which make it hard to compute.\n",
    "<img src=\"imgs/1.png\" alt=\"drawing\" width=\"150\"/>\n",
    "\n",
    "\n",
    "## 2.1 Unidentifiability\n",
    "The main problem with computing $p(\\theta|D)$ for an LVM is that the posterior distribution may have multiple modes. Consider a GMM, if the $z_i$ were all observed, we would have a unimodal posterior for the parameters\n",
    "$$\n",
    "p(\\theta|D)=Dir(\\vec{\\pi}|D)\\prod_{k=1}^K NIW(\\mu_k,\\Sigma_k|D)\n",
    "$$\n",
    "which is a factorization form.\n",
    "\n",
    "But now suppose the $z_i$ is hidden. In this case, the diffenrent value of $z_i$ is not identifiable, which means we can labels the clusters any shuffle way as we like. In this case, the posterior distribution may have multiple modes.\n",
    "\n",
    "## 2.2 MAP estimate is non-convex\n",
    "Consider the log-likelihood for an LVM\n",
    "$$\n",
    "log\\,p(D|\\theta)=\\sum_{i=1}^N log\\,\\left[ \\sum_{z_i} p(x_i,z_i|\\theta) \\right]\n",
    "$$\n",
    "Unfortunately, this objective is hard to maximize, since we cannot push the log inside the sum. The parameters are not factorized, which means that the parameters are interacted with each other.The interactions between parameters make observed data log likelihood function non-convex. As we know, non-convex function is hard to optimize.\n",
    "\n",
    "# 4. EM algorithm\n",
    "EM algorithm exploits the fact that if the data were fully observed, the ML/MAP estimate would be easy to compute.In particular, EM is an iterative algorithm which alternates between inferring the missing values given the parameters(E step) and then optimizing the parameters given the \"filled in\" data(M step).\n",
    "\n",
    "The **observed data log likelihood** is as follows\n",
    "$$\n",
    "l(\\theta)=log\\,p(D|\\theta)=\\sum_{i=1}^N log\\,\\sum_{z_i}p(x_i,z_i|\\theta)\n",
    "$$\n",
    "we can define the **complete data log likelihood** to be\n",
    "$$\n",
    "l_c(\\theta)=log\\,p(D|\\theta)=\\sum_{i=1}^N log\\,p(x_i,z_i|\\theta)\n",
    "$$\n",
    "This connot be computed,since $z_i$ is unknown. We can define the **expected complete data log likelihood** \n",
    "$$\n",
    "Q(\\theta,\\theta_{t-1})=E\\left[l_c(\\theta)\\right]\n",
    "$$\n",
    "where t is the current iterative number. The expectation is taken wrt the estimated hidden variable $\\hat{z}_i \\sim p(\\hat{z}_i|D,\\theta_{t-1})$. In the E step, we compute $Q(\\theta,\\theta^{t-1})$ and in the M step ,we optimize the $Q$ function wrt $\\theta$.\n",
    "$$\n",
    "\\theta^t=\\underset{\\theta}{argmax}Q(\\theta,\\theta^{t-1})\n",
    "$$\n",
    "To perform MAP estimation, we modify the M step as follows\n",
    "$$\n",
    "\\theta^t=\\underset{\\theta}{argmax}Q(\\theta,\\theta^{t-1})+log\\,p(\\theta)\n",
    "$$\n",
    "\n",
    "## 3.1 EM for GMMs\n",
    "The expected complete data log likelihood is given below,The expectation is taken wrt the estimated hidden variable $\\hat{z}_i \\sim p(\\hat{z}_i|D,\\theta_{t-1})=Cat(\\hat{z}_i|\\vec{r_i})$.\n",
    "\\begin{align}\n",
    "Q(\\theta,\\theta_{t-1}) &=E\\left[l_c(\\theta)\\right] \\\\\n",
    "                       &=E\\left[\\sum_{i=1}^N log\\, p(x_i,\\hat{z}_i|\\theta)\\right] \\\\\n",
    "                       &=\\sum_{i=1}^N E \\left[ log\\,\\pi_k p(x_i|\\theta_k) \\right]  \\\\\n",
    "                       &=\\sum_{i=1}^N\\sum_{k=1}^K r_{ik}\\left[log\\,\\pi_k+log\\,p(x_i|\\theta_k)\\right]\n",
    "\\end{align}\n",
    "Please note that $\\hat{z}_i$ were not chosen by **hard assign**, but rather by **soft assign**, which is a distribution $Cat(\\hat{z}_i|\\vec{r_i})$\n",
    "The E step has the following simple form\n",
    "$$\n",
    "r_{ik}=p(z_i=k|D,\\theta_{t-1})=\\frac{p(z_i=k)p(x_i|\\theta_k^{t-1})}{\\sum_{k'=1}^K p(z_i=k')p(x_i|\\theta_{k'}^{t-1})}\n",
    "$$\n",
    "In the M step, we optimize $Q$ wrt $\\pi$ and $\\theta_k$. For $\\pi$, we obviously have\n",
    "$$\n",
    "\\pi_k=\\frac{\\sum_{i=1}^N r_{ik}}{N}\n",
    "$$\n",
    "To derive the M step for the $\\mu_k$ and $\\Sigma_k$ terms, we look at the parts of $Q$ that depend on $\\mu_k$ and $\\Sigma_k$\n",
    "\\begin{align}\n",
    "Q(\\mu_k,\\Sigma_k) &=\\sum_{i=1}^N r_{ik}\\left[log\\,p(x_i|\\theta_k)\\right] \\\\\n",
    "                  &=-\\frac{1}{2}\\sum_{i=1}^N r_{ik}\\left[(x_i-\\mu_k)^T\\Sigma_{-1}(x_i-\\mu_k)+d\\,log\\,(2\\pi)+log|\\Sigma_k| \\right]\n",
    "\\end{align}\n",
    "This is just a weighted version of the computing the MLEs of an MVN.One can show that the new parameter estimates are given by\n",
    "\\begin{align}\n",
    "\\mu_k  &=\\frac{\\sum_{i=1}^N r_{ik}x_i}{\\sum_{i=1}^N r_{ik}} \\\\\n",
    "\\Sigma_k &=\\frac{\\sum_{i=1}^N r_{ik}(x_i-\\mu_k)^T(x_i-\\mu_k)}{\\sum_{i=1}^N r_{ik}} \\\\\n",
    "\\end{align}"
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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import multivariate_normal\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.preprocessing import normalize\n",
    "from matplotlib.patches import Ellipse\n",
    "\n",
    "group1=multivariate_normal([3,3],[[2.0,0.4],[0.4,0.5]]).rvs(size=500,random_state=42)\n",
    "group2=multivariate_normal([0,0],[[0.3,0.2],[-0.2,0.6]]).rvs(size=300,random_state=42)\n",
    "\n",
    "points=np.concatenate((group1,group2))\n",
    "np.random.seed(42)\n",
    "np.random.shuffle(points)\n",
    "\n",
    "#Below is the EM algorithm implementation\n",
    "groups=2    # The group num\n",
    "points_num=points.shape[0]\n",
    "r_i=np.zeros((points_num,groups))\n",
    "\n",
    "pi=normalize(np.ones(groups).reshape(-1,1))\n",
    "mu=[]\n",
    "for i in range(groups):\n",
    "    mu.append(points[i])\n",
    "mu=np.array(mu)  # The center of each group\n",
    "sigma=np.vstack(([np.identity(2)],)*groups)  #The covariance matrix of each group\n",
    "iter=50\n",
    "plot_freq=int(iter/9)+1\n",
    "\n",
    "fig=plt.figure(figsize=(16,16))\n",
    "\n",
    "def eigsorted(cov):\n",
    "    vals, vecs = np.linalg.eigh(cov)\n",
    "    order = vals.argsort()[::-1]\n",
    "    return vals[order], vecs[:,order]\n",
    "\n",
    "for it in range(iter):\n",
    "    if it%plot_freq==0 :\n",
    "        ax=fig.add_subplot(3,3,int(it/plot_freq)+1,aspect='auto')\n",
    "        ax.scatter(points[:,0],points[:,1],color='k')\n",
    "        ax.scatter(mu[:,0],mu[:,1],color='r')\n",
    "        ax.set_title(\"iter:%d\"%it,fontsize=15)\n",
    "        for g in range(groups):\n",
    "            vals, vecs = eigsorted(sigma[g])\n",
    "            theta = np.degrees(np.arctan2(*vecs[:,0][::-1]))\n",
    "            w, h = 2 * 1.96 * np.sqrt(vals)\n",
    "            ell = Ellipse(xy=mu[g],\n",
    "                          width=w, \n",
    "                          height=h,\n",
    "                          angle=theta, color='r',linewidth=3)\n",
    "            ell.set_facecolor('None')\n",
    "            ax.add_patch(ell)\n",
    "            \n",
    "    for g in range(groups):\n",
    "        rv=multivariate_normal(mean=mu[g],cov=sigma[g])\n",
    "        r_i[:,g]=rv.pdf(points)*pi[g]\n",
    "    r_i=normalize(r_i,norm='l1')\n",
    "    pi=normalize(np.mean(r_i,axis=0).reshape(-1,1))\n",
    "    for g in range(groups):\n",
    "        mu[g]=np.average(points,axis=0,weights=r_i[:,g])\n",
    "        mat=np.array([np.matmul(x.reshape(2,-1),x.reshape(-1,2)) for x in (points-mu[g])])\n",
    "        sigma[g]=np.average(mat,axis=0,weights=r_i[:,g])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 MAP estimation\n",
    "As usual, the MLE may overfit. The likelihood function is as follows\n",
    "$$\n",
    "p(D|\\theta)=\\prod_{i=1}^N \\left[ \\sum_{k=1}^K  p(x_i|z_i=k,\\theta_k)p(z_i=k) \\right]\n",
    "$$\n",
    "The overfit problem is particularly severe in the case of GMMs. To understand the problem, suppose for simplicity that $\\mathbf{\\Sigma}_k=\\sigma_k^2\\mathbf{I}$, and that $K=2$. It is possible to get an infinite likelihood by assigning one of the centers, say $\\vec{\\mu}_2$, to a single data, say $\\vec{x}_1$, since then the $1$st term makes the following contribution to the likelihood\n",
    "$$\n",
    "\\mathcal{N}(\\vec{x}_1|\\vec{\\mu}_2,\\sigma_2^2\\mathbf{I})=\\frac{1}{2\\pi\\sigma_2^2}e^0\n",
    "$$\n",
    "Hence we can drive this term to infinity by letting $\\sigma_2 \\rightarrow 0$. **So the observed data log likelihood might increase to infinite.** The EM monotonically increases the observed data log likelihood until\n",
    "it reaches a local maximum (or saddle point, although such points are usually unstable).\n",
    "\n",
    "An easy solution to this is to perform MAP estimation. The new objective function is the expected complete data log-likelihood plus the log prior\n",
    "$$\n",
    "Q(\\theta,\\theta_{t-1})=E \\left[ l_c(\\theta) \\right ] +log\\,p(\\theta)\n",
    "$$\n",
    "The expectation is taken wrt the estimated hidden variable $\\hat{z}_i \\sim p(\\hat{z}_i|D,\\theta_{t-1})$\n",
    "\n",
    "## 3.3 K-means algorithm\n",
    "There is a popular variant of the EM algorithm for GMMs known as the **k-means algorithm**. Consider a GMM in which we make the following assumptions $\\Sigma_k=\\sigma^2\\mathbf{I}_D$ is fixed and $\\pi_k=\\frac{1}{K}$, so only the cluster centers, $\\mu_k$ have to be estimated. We also use a MAP estimation during the E step\n",
    "$$\n",
    "\\hat{z}_i=\\underset{k}{argmax}\\,p(z_i=k|x_i,\\theta^{t-1})\n",
    "$$\n",
    "This is called **hard EM**, since we are making a hard assignment of points to clusters instead of compute the expectation wrt $\\hat{z}_i$. Since we assumed an equal spherical covariance matrix for each cluster, the most probable cluster for $x_i$ can be computed by finding the nearest prototype:\n",
    "$$\n",
    "\\hat{z}_i=\\underset{k}{argmax} ||x_i-\\mu_k||_2^2\n",
    "$$\n",
    "The K-means algorithm can be interpreted as a solution to the data compression. Suppose we want to perform lossy compression of some real-valued vectors,$\\vec{x_i} \\in R^D$. The basic idea is to replace each vector with a discrete symbol $z_i \\in \\lbrace 1,\\ldots,K \\rbrace $ which is an index into a **dictionary** of $\\mathbf{K}$ prototypes, $\\mu_k \\in R^D$.Each data vector is encoded by using the index of the most similar prototype, where similarity is measured in terms of Euclidean distance\n",
    "$$\n",
    "encode(\\vec{x}_i)=\\underset{k}{argmin}||\\vec{x}_i-\\vec{\\mu}_k||^2\n",
    "$$\n",
    "We can define a cost function that measures the quality of a codebook by computing the **reconstruction error** as follows\n",
    "$$\n",
    "J(\\vec{\\mu}|K,\\mathbf{X}) =\\frac{1}{N}\\sum_{i=1}^N \\|\\vec{x}_i-decode(encode(\\vec{x}_i))\\|^2\n",
    "$$\n",
    "where $decode(k)=\\vec{\\mu}_k$. The K-means algorithm can be thought of as a simple iterative scheme for minimizing this objective."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "n_samples=1500\n",
    "X,y=make_blobs(n_samples=n_samples,random_state=42)\n",
    "\n",
    "y_pred=KMeans(n_clusters=2,random_state=42,init='k-means++').fit_predict(X)\n",
    "\n",
    "plt.figure(figsize=(16,16))\n",
    "plt.subplot(2,2,1)\n",
    "plt.scatter(X[:,0],X[:,1],c=y_pred)\n",
    "plt.title(\"Incorrect Number of Blobs\",fontsize=15)\n",
    "\n",
    "transformation = [[0.60834549, -0.83667341], [-0.70887718, 0.85253229]]\n",
    "X_aniso = np.dot(X, transformation)\n",
    "y_pred=KMeans(n_clusters=3,random_state=42,init='k-means++').fit_predict(X_aniso)\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "plt.scatter(X_aniso[:,0],X[:,1],c=y_pred)\n",
    "plt.title(\"Anisotropicly Distributed Blobs\",fontsize=15)\n",
    "\n",
    "X_varied,y_varied=make_blobs(n_samples=n_samples,\n",
    "                            cluster_std=[1.0,2.5,0.5],\n",
    "                            random_state=42)\n",
    "y_pred=KMeans(n_clusters=3,random_state=42,init='k-means++').fit_predict(X_varied)\n",
    "\n",
    "plt.subplot(2,2,3)\n",
    "plt.scatter(X_varied[:,0],X_varied[:,1],c=y_pred)\n",
    "plt.title(\"Unequal Variance\",fontsize=15)\n",
    "\n",
    "X_unbalance=np.vstack((X[y==0][:500],X[y==1][:100],X[y==2][:10]))\n",
    "y_pred=KMeans(n_clusters=3,random_state=42,init='k-means++').fit_predict(X_unbalance)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Theoretical basis for EM\n",
    "Consider an arbitrary distribution $q_i(\\vec{z}_i)$ over the hidden variables. The expected complete data log likelihood wrt to $\\vec{z}_i \\sim q_i(\\vec{z}_i)$ is\n",
    "$$\n",
    "Q(\\vec{\\theta},q_{i=1}^N)=\\sum_{i=1}^N \\left[ \\sum_{\\vec{z}_i}q_i(\\vec{z}_i)\\,log\\,p(\\vec{x}_i,\\vec{z}_i|\\vec{\\theta}) \\right]\n",
    "$$\n",
    "The observed data log likelihood can be written as follows\n",
    "\\begin{align}\n",
    "l(\\vec{\\theta})  &=\\sum_{i=1}^N\\left[log\\,p(\\vec{x}_i|\\vec{\\theta})\\right]  \\\\\n",
    "                 &=\\sum_{i=1}^N\\left[log\\,\\frac{p(\\vec{x}_i,z_i|\\vec{\\theta})}{p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta})}\\right] \\quad \\text{for any}\\,\\, \\vec{z}_i\\\\\n",
    "                &=\\sum_{i=1}^N\\left[\\sum_{\\vec{z}_i}q_i(\\vec{z}_i)log\\,\\frac{p(\\vec{x}_i,\\vec{z}_i|\\vec{\\theta})}{p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta})}\\right] \\quad \\text{for any distribution}\\,\\,q_i(\\vec{z}_i)\\\\\n",
    "                 &=\\sum_{i=1}^N\\left[\\sum_{\\vec{z}_i} \\left[q_i(\\vec{z}_i)\\,log\\,\\frac{p(\\vec{x}_i,\\vec{z}_i|\\vec{\\theta})}{q_i(\\vec{z}_i)}-q_i(\\vec{z}_i)\\,log\\,\\frac{p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta})}{q_i(\\vec{z}_i)}\\right]\\right] \\\\\n",
    "                 &=\\mathcal{L}(q_{i=1}^N,\\vec{\\theta})+\\sum_{i=1}^N \\text{KL}(q_i\\| p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta}))\n",
    "\\end{align}\n",
    "where we have defined\n",
    "\\begin{align}\n",
    "\\mathcal{L}(q_{i=1}^N,\\vec{\\theta}) &=\\sum_{i=1}^N\\left[\\sum_{\\vec{z}_i} \\left[q_i(\\vec{z}_i)\\,log\\,\\frac{p(\\vec{x}_i,\\vec{z}_i|\\vec{\\theta})}{q_i(\\vec{z}_i)} \\right]\\right] \\\\\n",
    "                                    &=Q(\\vec{\\theta},q_{i=1}^N)+\\sum_{i=1}^N \\mathbb{H}[q_i]\\\\\n",
    "\\end{align}\n",
    "<img src=\"imgs/2.png\" alt=\"drawing\" width=\"350\"/>\n",
    "Recall that the **Kullback-Leibler divergence** satisfies $\\text{KL}(q_i \\| p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta})) \\geq 0$, with equality iff $q_i=p(\\vec{z}_i|\\vec{x}_i,\\vec{\\theta})$. \n",
    "\n",
    "* In the E step, the low bound $\\mathcal{L}(q_{i=1}^N,\\vec{\\theta})$ is maximized wrt $q_{i=1}^N$ while holding $\\vec{\\theta}^{t-1}$ fixed.The solution to this maximization problem is easily seen by noting that the value of $l(\\vec{\\theta})$ does not depend on $q_{i=1}^N$ and so the largest value of $\\mathcal{L}(q_{i=1}^N,\\vec{\\theta})$  will occur when the **Kullback-Leibler divergence** vanishes, in other words when $\\hat{q}_i=p(z_i|\\vec{x}_i,\\vec{\\theta}^{t-1})$. In this case, the lower bound will equal the log likelihood, which means $l(\\vec{\\theta}^{t-1})=\\mathcal{L}(\\hat{q}_{i=1}^N,\\vec{\\theta}^{t-1})$.\n",
    "* In the M step, the distribution $q_{i=1}^N$ is held fixed and the lower bound $\\mathcal{L}(q_{i=1}^N,\\vec{\\theta})$ is maximized with respect to $\\vec{\\theta}$ to give $\\vec{\\theta}^t$,which will increase the lower bound $\\mathcal{L}$, and hence increase the log likelihood function as well.\n",
    "\n",
    "We can find that EM monotonically increases the observed data log likelihood until it reaches a local optimum. We have\n",
    "\\begin{align}\n",
    "l(\\vec{\\theta}^t) &\\geq \\mathcal{L}\\left(q_{i=1}^N=p(z_i|\\vec{x}_i,\\vec{\\theta}^{t-1}),\\vec{\\theta}^t\\right) \\\\\n",
    "                  &\\geq \\mathcal{L}\\left(q_{i=1}^N=p(z_i|\\vec{x}_i,\\vec{\\theta}^{t-1}),\\vec{\\theta}^{t-1}\\right)  \\\\\n",
    "                  &=l(\\vec{\\theta}^{t-1})\n",
    "\\end{align} "
   ]
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